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Finding the Fourth Proportional to 29,978.12, 41,371.68 and 17,235.36

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Solution

The fourth proportional to 29,978.12, 41,371.68 and 17,235.36 is: 23,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.12 : 41,371.68 = 17,235.36 : x
  2. Step 2: Convert to fraction form
    29,978.12/41,371.68 = 17,235.36/x
  3. Step 3: Cross multiply
    29,978.12x = 41,371.68 × 17,235.36
  4. Step 4: Simplify right side
    29,978.12x = 713,055,798.60
  5. Step 5: Solve for x
    x = 713,055,798.60/29,978.12
  6. Step 6: Final answer
    x = 23,785.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.